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Finding the Fourth Proportional to 6,577.68, 9,077.19 and 3,744.90

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Solution

The fourth proportional to 6,577.68, 9,077.19 and 3,744.90 is: 5,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.68 : 9,077.19 = 3,744.90 : x
  2. Step 2: Convert to fraction form
    6,577.68/9,077.19 = 3,744.90/x
  3. Step 3: Cross multiply
    6,577.68x = 9,077.19 × 3,744.90
  4. Step 4: Simplify right side
    6,577.68x = 33,993,202.87
  5. Step 5: Solve for x
    x = 33,993,202.87/6,577.68
  6. Step 6: Final answer
    x = 5,167.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.